3552723618960 has 80 divisors (see below), whose sum is σ = 11120369929344. Its totient is φ = 938194968576.

The previous prime is 3552723618959. The next prime is 3552723618967. The reversal of 3552723618960 is 698163272553.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3552723618960² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3552723618960.

It is not an unprimeable number, because it can be changed into a prime (3552723618967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71834577 + ... + 71884016.

Almost surely, 2^{3552723618960} is an apocalyptic number.

3552723618960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3552723618960 is an abundant number, since it is smaller than the sum of its proper divisors (7567646310384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3552723618960 is a wasteful number, since it uses less digits than its factorization.

3552723618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143718712 (or 143718706 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 3552723618960 in words is "three trillion, five hundred fifty-two billion, seven hundred twenty-three million, six hundred eighteen thousand, nine hundred sixty".